13730342400 has 1200 divisors, whose sum is σ = 58019567760. Its totient is φ = 3185049600.

The previous prime is 13730342389. The next prime is 13730342429. The reversal of 13730342400 is 424303731.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 334886380 + ... + 334886420.

Almost surely, 2^13730342400 is an apocalyptic number.

13730342400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13730342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29009783880).

13730342400 is an abundant number, since it is smaller than the sum of its proper divisors (44289225360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13730342400 is a wasteful number, since it uses less digits than its factorization.

13730342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The spelling of 13730342400 in words is "thirteen billion, seven hundred thirty million, three hundred forty-two thousand, four hundred".